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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Exploring the Lorenz System of Differential Equations"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this Notebook we explore the Lorenz system of differential equations:\n",
      "\n",
      "$$\n",
      "\\begin{aligned}\n",
      "\\dot{x} & = \\sigma(y-x) \\\\\n",
      "\\dot{y} & = \\rho x - y - xz \\\\\n",
      "\\dot{z} & = -\\beta z + xy\n",
      "\\end{aligned}\n",
      "$$\n",
      "\n",
      "This is one of the classic systems in non-linear differential equations. It exhibits a range of different behaviors as the parameters ($\\sigma$, $\\beta$, $\\rho$) are varied."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Imports"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "First, we import the needed things from IPython, NumPy, Matplotlib and SciPy."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.html.widgets import interact, interactive\n",
      "from IPython.display import clear_output, display, HTML"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "from scipy import integrate\n",
      "\n",
      "from matplotlib import pyplot as plt\n",
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "from matplotlib.colors import cnames\n",
      "from matplotlib import animation"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Computing the trajectories and plotting the result"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We define a function that can integrate the differential equations numerically and then plot the solutions. This function has arguments that control the parameters of the differential equation ($\\sigma$, $\\beta$, $\\rho$), the numerical integration (`N`, `max_time`) and the visualization (`angle`)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def solve_lorenz(N=10, angle=0.0, max_time=4.0, sigma=10.0, beta=8./3, rho=28.0):\n",
      "\n",
      "    fig = plt.figure()\n",
      "    ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n",
      "    ax.axis('off')\n",
      "\n",
      "    # prepare the axes limits\n",
      "    ax.set_xlim((-25, 25))\n",
      "    ax.set_ylim((-35, 35))\n",
      "    ax.set_zlim((5, 55))\n",
      "    \n",
      "    def lorenz_deriv((x, y, z), t0, sigma=sigma, beta=beta, rho=rho):\n",
      "        \"\"\"Compute the time-derivative of a Lorentz system.\"\"\"\n",
      "        return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n",
      "\n",
      "    # Choose random starting points, uniformly distributed from -15 to 15\n",
      "    np.random.seed(1)\n",
      "    x0 = -15 + 30 * np.random.random((N, 3))\n",
      "\n",
      "    # Solve for the trajectories\n",
      "    t = np.linspace(0, max_time, int(250*max_time))\n",
      "    x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n",
      "                      for x0i in x0])\n",
      "    \n",
      "    # choose a different color for each trajectory\n",
      "    colors = plt.cm.jet(np.linspace(0, 1, N))\n",
      "\n",
      "    for i in range(N):\n",
      "        x, y, z = x_t[i,:,:].T\n",
      "        lines = ax.plot(x, y, z, '-', c=colors[i])\n",
      "        plt.setp(lines, linewidth=2)\n",
      "\n",
      "    ax.view_init(30, angle)\n",
      "    plt.show()\n",
      "\n",
      "    return t, x_t"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's call the function once to view the solutions. For this set of parameters, we see the trajectories swirling around two points, called attractors. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t, x_t = solve_lorenz(angle=0, N=10)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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ncRWOJJQVdu2ejgzXPuRRjlcK9+hHgeeAyaCuKet2DYajYYSvSqFfAR4AngMV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yN+b26PC70Wg1+TtCLs4mqCoalEuFO5cCH1jnaqSov3P4qA4ftXoUyv72mkQ/hNVdarDyBJ7aGI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\nItIr/D8DcosZOhpCHgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f9192512490>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Using IPython's `interactive` function, we can explore how the trajectories behave as we change the various parameters."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "w = interactive(solve_lorenz, angle=(0.,360.), N=(0,50), sigma=(0.0,50.0), rho=(0.0,50.0))\n",
      "display(w)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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W9QQo9Y/gy8E3bfvgtXtqXLYAb3TqWuBONc726/F9IwYG/27+VcKn5DoGIV1e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ULVjEAQAg1qnRhPVDrD7HuP9+ntCtFZDDEuWikDcOLRDik7K3J1351s0K0uVLSjDRGq0TjYWFHX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bcgaU8ncF2qCi8nkAaD4dxihM9g+F3EKaQp5q/g31N6Oq7D+tOyA4NAlVp8Gqbt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\nGAwGg8FgMBgMBoPBYDAYDAaDwXA58v8rXthGgQk8ZQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f9190dbd410>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The object returned by `interactive` is a `Widget` object and it has attributes that contain the current result and arguments:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t, x_t = w.result"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "w.kwargs"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "{u'N': 10,\n",
        " u'angle': 0.0,\n",
        " u'beta': 2.6666666666666665,\n",
        " u'max_time': 4.0,\n",
        " u'rho': 28.0,\n",
        " u'sigma': 10.0}"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "After interacting with the system, we can take the result and perform further computations. In this case, we compute the average positions in $x$, $y$ and $z$."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xyz_avg = x_t.mean(axis=1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xyz_avg.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "(10, 3)"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Creating histograms of the average positions (across different trajectories) show that on average the trajectories swirl about the attractors."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.hist(xyz_avg[:,0])\n",
      "plt.title('Average $x(t)$')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<matplotlib.text.Text at 0x7f9190ed61d0>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/usr/lib/pymodules/python2.7/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['serif'] not found. Falling back to Bitstream Vera Sans\n",
        "  (prop.get_family(), self.defaultFamily[fontext]))\n",
        "/usr/lib/pymodules/python2.7/matplotlib/font_manager.py:1246: UserWarning: findfont: Could not match :family=Bitstream Vera Sans:style=normal:variant=normal:weight=normal:stretch=normal:size=medium. Returning /usr/share/matplotlib/mpl-data/fonts/ttf/cmb10.ttf\n",
        "  UserWarning)\n",
        "/usr/lib/pymodules/python2.7/matplotlib/font_manager.py:1246: UserWarning: findfont: Could not match :family=Bitstream Vera Sans:style=normal:variant=normal:weight=normal:stretch=normal:size=large. Returning /usr/share/matplotlib/mpl-data/fonts/ttf/cmb10.ttf\n",
        "  UserWarning)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEMCAYAAADZDD24AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiRJkiRJkiRJkiRJkiRJkiRJGob/AVtTEdvAPqmaAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f9190d60050>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.hist(xyz_avg[:,1])\n",
      "plt.title('Average $y(t)$')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<matplotlib.text.Text at 0x7f9190dcb990>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEMCAYAAADZDD24AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nckKBAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f91904cd7d0>"
       ]
      }
     ],
     "prompt_number": 13
    }
   ],
   "metadata": {}
  }
 ]
}